40134164024064 has 216 divisors, whose sum is σ = 117634163065776. Its totient is φ = 12138509926400.

The previous prime is 40134164024041. The next prime is 40134164024111. The reversal of 40134164024064 is 46042046143104.

It is a happy number.

It is a super-2 number, since 2×40134164024064² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48001012 + ... + 48829964.

It is an arithmetic number, because the mean of its divisors is an integer number (544602606786).

Almost surely, 2^{40134164024064} is an apocalyptic number.

40134164024064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134164024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58817081532888).

40134164024064 is an abundant number, since it is smaller than the sum of its proper divisors (77499999041712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40134164024064 is a wasteful number, since it uses less digits than its factorization.

40134164024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829515 (or 829490 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 40134164024064 in words is "forty trillion, one hundred thirty-four billion, one hundred sixty-four million, twenty-four thousand, sixty-four".